Answer:
((2a+b)/2 , a/2)
Step-by-step explanation:
The midpoint is the mean/average of both the x and y values.
Our x values are a+b and a
Our y values are a-b and b
The midpoint x value is (a+b + a ) /2 = (2a + b)/2
The midpoint y value is (a-b + b) /2 = (a)/2
The midpoint combines these two values to get ((2a+b)/2 , a/2) as our midpoint
tell me a some basic terms related bijective.
1:A function of F:R --->is defined by f(x)=x²-1,is f one to one an onto.
2:
A function F:[-2,2]-->R is defined by f(x)=x² is
F one to one and onto.
3:
A function F:[1,4]-->R is defined by f(x)=x³ is
F one to one and onto
Answer:
1. f(x) = x² - 1 is an even function.
It has two-to-one relationship since f(-x) = f(x)
The answer is no
2. f(x) = x², same as above, the answer is no
3. The function f(x) = x³ is an odd function and its inverse is:
f(x) = ∛x, which is also an odd functionBoth have one-to-one and onto relationship
The answer is yes
Lelana bought 21 packs of washable crayons and x packs of non-washable crayons. Write an ex- pression to show how many crayons Lelana bought in total.
please help
Answer:
[tex]21 + x[/tex] packs
Step-by-step explanation:
Given
[tex]Washable \to 21[/tex]
[tex]Non \to x[/tex]
Required
The total packs bought
This is calculated as:
[tex]Total = Washable + Non[/tex]
[tex]Total = 21 +x[/tex]
Lower Quartile value (Q1) is:
41
42
46
48
54
56
57
Answer:
Q1 =46
Step-by-step explanation:
Q1=(N+1)/4 (N means no of data)
=8+1/4
=9/4
=2.25
=2 nd term + (3 rd term - 2 nd term)
=44 +(46 - 44)
=44 + 2
=46
How much simple interest would be paid on a loan of 10,170 at 7.64% for 272 days
Answer:
I'll setup the problem and you can compute the answer
Step-by-step explanation:
The formula for simple:
I = P*r*t
I = interest
P = loan amount
r = interest rate per period (period = days)
n = number of periods
P = 10,170
r = .0764/365
t = 272
16055 divided by 16?
Answer:
1003.4375
Step-by-step explanation:
16055/16 is 1003.4375
What is
(481x10")(1.1x 10-4) in scientific notation?
5.291x 10-64
5.291x10
5.291x1012
5.291x1020
Answer:
5.291 * 10^4
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In 2011, there were 150 participants in a quiz competition. In 2012, there were 185 participants in this quiz competition.
Select the true statement about participants in the quiz competition from 2011 to 2012. Percentages are rounded to the nearest tenths place.
a.) The absolute change is 35 students and the relative change indicates an increase of 18.92%.
b.) The absolute change is -35 students and the relative change indicates a decrease of 23.3%.
c.) The absolute change is 35 students and the relative change indicates an increase of 23.3%.
d.) The absolute change is -35 students and the relative change indicates a decrease of 35%.
Answer:
c.) The absolute change is 35 students and the relative change indicates an increase of 23.3%
Step-by-step explanation:
the participants increasing = 185-150=35
the percentage = 35/150 × 100% = 23.3%
Option (C) The absolute change is 35 students and the relative change indicates an increase of 23.3% is correct.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have:
In 2011, there were 150 participants in a quiz competition. In 2012, there were 185 participants in this quiz competition.
c) The absolute change is 35 students and the relative change indicates an increase of 23.3%
The change in participent = 185 - 150 = 35
Percentage change = (35/150)×100 = 23.3%
Thus, option (C) The absolute change is 35 students and the relative change indicates an increase of 23.3% is correct.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ2
Find the height in centimeters of a square pyramid with a volume of 455cm3 and a base edge length equal to the height. Give the approximate answer rounded to 2 decimal places.
Answer:
[tex]h = 7.69cm[/tex]
Step-by-step explanation:
Given
[tex]Volume = 455cm^3[/tex]
[tex]l = h[/tex]
Where:
[tex]h \to height[/tex]
[tex]l \to base\ length[/tex]
Required
The height
The volume is calculated as:
[tex]Volume = l^2 * h[/tex]
This gives:
[tex]Volume = h^2 * h[/tex]
[tex]Volume = h^3[/tex]
Rewrite as:
[tex]h^3 =Volume[/tex]
So, we have:
[tex]h^3 = 455cm^3[/tex]
Take cube roots
[tex]h = \sqrt[3]{455cm^3}[/tex]
[tex]h = 7.69cm[/tex] --- approximated
Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graphs of the equations about the given lines. y = √x, y = 2, x = 0.
a. the x-axis
b. the line y = 2
c. the y-axis
d. the line x = -1
Answer:
a) 8π
b) 8/3 π
c) 32/5 π
d) 176/15 π
Step-by-step explanation:
Given lines : y = √x, y = 2, x = 0.
a) The x-axis
using the shell method
y = √x = , x = y^2
h = y^2 , p = y
vol = ( 2π ) [tex]\int\limits^2_0 {ph} \, dy[/tex]
= [tex]( 2\pi ) \int\limits^2_0 {y.y^2} \, dy[/tex]
∴ Vol = 8π
b) The line y = 2 ( using the shell method )
p = 2 - y
h = y^2
vol = ( 2π ) [tex]\int\limits^2_0 {ph} \, dy[/tex]
= [tex]( 2\pi ) \int\limits^2_0 {(2-y).y^2} \, dy[/tex]
= ( 2π ) * [ 2/3 * y^3 - y^4 / 4 ] ²₀
∴ Vol = 8/3 π
c) The y-axis ( using shell method )
h = 2-y = h = 2 - √x
p = x
vol = [tex](2\pi ) \int\limits^4_0 {ph} \, dx[/tex]
= [tex](2\pi ) \int\limits^4_0 {x(2-\sqrt{x} ) } \, dx[/tex]
= ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀
vol = ( 2π ) ( 16/5 ) = 32/5 π
d) The line x = -1 (using shell method )
p = 1 + x
h = 2√x
vol = [tex](2\pi ) \int\limits^4_0 {ph} \, dx[/tex]
Hence vol = 176/15 π
attached below is the graphical representation of P and h
Find the distance between the points A(-6,8) and B(12, - 7) by using the distance formula or Pythagorean Theorem. Leave your answer under the radical unless it is a a perfect square. Or, round your decimal answer to the nearest tenth.
Answer:
d=23.43
Step-by-step explanation:
Given data
A(-6,8)
X1=-6
Y1=8
B(12, - 7)
X2=12
Y2=-7
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²
Substitute
d=√((12+6)²+(-7-8)²
d=√((18)²+(-15)²
d=√324+225
d=√549
d=23.43
What is the equation of the line that passes through point ( -5,2 ) and has a slope = 2
95-3/4 step by step pls answer
Answer:
[tex]95 - \frac{3}{4} [/tex]
[tex] = \frac{95}{1} - \frac{3}{4} [/tex]
[tex] = \frac{380}{4} - \frac{3}{4} [/tex]
[tex] = \frac{380 - 3}{4} [/tex]
[tex] = \frac{377}{4} [/tex]
[tex] = 376\frac{1}{4} [/tex]
What is the slope of the line represented by the equation y = 4/5x - 3 ?? Someone help :0 !!
Answer: 4/5
Step-by-step explanation:
plss.. help me po goisss:( BRAINLIEST KO PO YUNG TAMANG SAGOT PLSS:(
I.)
1.) 7N = 50
2.) 35 - 16 = N
3.) 2P + 8 = 24
4.) R/5 = 9
5.) 30 - 10 = 20
II.)
1.) Twinity increased by eight times N
2.) D decreased by eleven
3.) The quotient of X and nine is K
4.) Five times X
5.) Three times a decreased by 5 is thirteen
6.) Nothing
7N = 50
35 - 16 = N
2P + 8 = 24
R/5 = 9
30 - 10 = 20
Twenty increased by eight times N
D decreased by eleven
The quotient of X and nine is K
Five times X
Three times a decreased by 5 is thirteen
The area of a circle, in terms of
π
, is 36
π
m2.
Find the value of the radius.
What's is the value of X?
Answer:
[tex]116^o[/tex]
Step-by-step explanation:
All triangles equal [tex]180^o[/tex]. Therefore, in order to find the value of [tex]x^o[/tex], all you will have to do is subtract [tex]64^o[/tex] from [tex]180^o[/tex].
[tex]180^o-64^o=116^o[/tex]
[tex]x^o=116^o[/tex]
If Terry gives 30% of his sweets to Alex,they will have the same number of sweets.If terry gives 750 of his sweets to Alex,then Alex will have 80% more sweets than Terry.How many sweets does Terry have?
Answer:
Terry has 1500 sweets.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the number of sweets Terry has.
y is the number of sweets Alex has.
If Terry gives 30% of his sweets to Alex,they will have the same number of sweets.
This means that:
[tex](1 - 0.3)x = y + 0.3x[/tex]
[tex]0.7x = y + 0.3x[/tex]
[tex]y = 0.4x[/tex]
If Terry gives 750 of his sweets to Alex,then Alex will have 80% more sweets than Terry.
This means that:
[tex]y + 750 = 1.8(x-750)[/tex]
We want to find x, and since [tex]y = 0.4x[/tex]
[tex]y + 750 = 1.8x - 1350[/tex]
[tex]0.4x + 750 = 1.8x - 1350[/tex]
[tex]1.4x = 2100[/tex]
[tex]x = \frac{2100}{1.4}[/tex]
[tex]x = 1500[/tex]
Terry has 1500 sweets.
PLEASE HELP!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT
what's the easiest way to answer how I know the answer pls?
Hao has a container in the shape of a right rectangular prism with dimensions 3 feet by 5 feet by 8 feet. What is the
volume, in cubic feet, of the container?
Answer:
120 [tex]{ft}^{3}[/tex]
Step-by-step explanation:
To find the volume of a rectangular prism, multiply the lengths of all of the sides
3 x 5 x 8 = Ans --> 3 x 40 = Ans -->120 = Ans
Therefore, the volume of the rectangular prism is 120 [tex]{ft}^{3}[/tex]
plz find the area of the red shape :)
Answer to this problem
Answer:
The answer would be E, the tire makes 700 revolutions in 2 minutes.
Step-by-step explanation:
One revolution is equal to the circumference of the tire :
[tex]C = 2\pi r = 2(1)(\frac{22}{7} ) = \frac{44}{7}[/tex]
The car travels at 2,200 feet per minute. To calculate the number of revolutions, divide the speed by the circumference.
[tex]2,200[/tex] ÷ [tex]\frac{44}{7}[/tex] = 350
This means that in 1 minute the tire makes 350 revolutions. To find out how many revolutions the tire would make for 2 minutes you simply multiply by 2.
350*2 = 700
So the answer would be E, the tire makes 700 revolutions in 2 minutes. Hope this helps, please mark brainliest!
Find the value of x to the nearest tenth.
Answer:
[tex]base = \sqrt{ {4}^{2} + {3}^{2} } \\ = \sqrt{25} = 5 \\ x = \sqrt{ {6}^{2} - {5}^{2} } \\ x = \sqrt{11} \\ x = 3.3[/tex]
true or false m angle 3 <m angle 6
Answer:
False
Step-by-step explanation:
If you see closely, Angle 3 is slightly smaller than Angle 6''
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
how many terms are in the following expression 9c+2d-8
is equivalent to 16 Superscript three-fourths?
I can help you in the comments section. Can you rephrase this question?
Answer:B
Step-by-step explanation:
Simplify: 5x3+3x2−(−x−6x2)+4x−x2
Struggling with these
Find the measure of the arc or angle indicated. Find QR Please help!!!
да е анан алое вераснята на акту